Finding the Fourth Proportional to 313,456,463.84, 469,161,571.14 and 230,436,239.80
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Solution
The fourth proportional to 313,456,463.84, 469,161,571.14 and 230,436,239.80 is: 344,902,213.81
Step by Step Solution
- Step 1: Write the proportion equation
313,456,463.84 : 469,161,571.14 = 230,436,239.80 : x - Step 2: Convert to fraction form
313,456,463.84/469,161,571.14 = 230,436,239.80/x - Step 3: Cross multiply
313,456,463.84x = 469,161,571.14 × 230,436,239.80 - Step 4: Simplify right side
313,456,463.84x = 108,111,828,311,218,688 - Step 5: Solve for x
x = 108,111,828,311,218,688/313,456,463.84 - Step 6: Final answer
x = 344,902,213.81
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.